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arXiv · 1911.05509

Le probl\`eme de la sch\'ematisation de Grothendieck revisit\'e

Bertrand Toën
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Abstract

The objective of this work is to reconsider the schematization problem of [6], with a particular focus on the global case over Z. For this, we prove the conjecture [Conj. 2.3.6][15] which gives a formula for the homotopy groups of the schematization of a simply connected homotopy type. We deduce from this several results on the behaviour of the schematization functor, which we propose as a solution to the schematization problem.

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Bertrand Toën. 2019-11-13. Le probl\`eme de la sch\'ematisation de Grothendieck revisit\'e. https://doi.org/10.46298/epiga.2020.volume4.6060

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